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Finding the Fourth Proportional to 53,784.88, 80,676.61 and 24,181.81

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Solution

The fourth proportional to 53,784.88, 80,676.61 and 24,181.81 is: 36,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784.88 : 80,676.61 = 24,181.81 : x
  2. Step 2: Convert to fraction form
    53,784.88/80,676.61 = 24,181.81/x
  3. Step 3: Cross multiply
    53,784.88x = 80,676.61 × 24,181.81
  4. Step 4: Simplify right side
    53,784.88x = 1,950,906,192.32
  5. Step 5: Solve for x
    x = 1,950,906,192.32/53,784.88
  6. Step 6: Final answer
    x = 36,272.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.